register post type wheels

function custom_post_init() {
        // register post_type wheels
        $labels = array(
      'name'                                => __( 'Wheels' ),
            'singular_name'             => __( 'Wheel' ),
            'add_new'                           => __( 'Add new wheel' ),
            'add_new_item'              => __( 'Add new wheel' ),
            'edit_item'                     => __( 'Edit wheel' ),
            'new_item'                      => __( 'New wheel' ),
            'all_items'                     => __( 'All wheels' ),
            'view_item'                     => __( 'View wheel' ),
            'search_items'              => __( 'Search wheels' ),
            'not_found'                     => __( 'No wheels' ),
            'not_found_in_trash'    => __( 'No wheels in trash' ),
            'menu_name'                     => __( 'Wheels' )
    );
    $args = array(
      'labels'                              => $labels,
            'public'                                => true,
            'exclude_from_search'       => false,
            'public_queryable'          => true,
            'show_ui'                           => true,
            'show_in_menu'                  => true,
            // 'query_var'                      => 'wheels',
            'rewrite'                               => array( 'slug' => 'wheels', 'feeds' => true ),
            'has_archive'                       => true,
            'menu_position'                 => 30,
            'menu_icon'                         => get_stylesheet_directory_uri() . '/assets/img/cpt-wheel-icon.jpg',
            // 'capability_type'            => 'wheel',
            'capabilities'                  => array(
                    'publish_posts'                 => 'publish_wheels',
                    'edit_posts'                        => 'edit_wheels',
                    'edit_others_posts'         => 'edit_others_wheels',
                    'delete_posts'                  => 'delete_wheels',
                    'delete_others_posts'   => 'delete_others_wheels',
                    'read_private_posts'        => 'read_private_wheels',
                    'edit_post'                         => 'edit_wheel',
                    'delete_post'                   => 'delete_wheel',
                    'read_post'                         => 'read_wheel'
            ),
            // 'hierarchical'               => false,
            'supports'                          => array('title', 'editor', 'author', 'thumbnail', 'custom-fields','comments'),
            'taxonomies'                        => array('category','post_tag')
    );
    register_post_type( 'wheels', $args );
}
add_action( 'init', 'custom_post_init' );

function add_taxonomy_to_post_type() {
    register_taxonomy_for_object_type('category', 'wheels');
    register_taxonomy_for_object_type('post_tag', 'wheels');
}
add_action('init', 'add_taxonomy_to_post_type');